Regular polytopes, sphere packings and Apollonian sections

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RT @mathCObot: Iván Rasskin: Regular polytopes, sphere packings and Apollonian sections https://t.co/QpB3oYKjSb https://t.co/gvHaXKIhL0

03 Sep 2021

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RT @mathCObot: Iván Rasskin: Regular polytopes, sphere packings and Apollonian sections https://t.co/QpB3oYKjSb https://t.co/gvHaXKIhL0

03 Sep 2021

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we obtain a generalization of the octahedral Descartes' Theorem of Guettler and Mallows in every dimension. [4/4 of https://t.co/MbkAHtwyJy]

03 Sep 2021

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in the set of curvatures of an integral orthoplicial Apollonian sphere packing. We also prove that cross polytopes in dimension 3 and above and the 24-cell are M\"obius unique, we give a new set of non edge-scribable 4-polytopes, and [3/4 of https://t.co/M

03 Sep 2021

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